Search a number
-
+
20336269824 = 2932133147233
BaseRepresentation
bin10010111100001000…
…101101101000000000
31221111021021112201200
4102330020231220000
5313122041113244
613201540501200
71316644304253
oct227410555000
957437245650
1020336269824
118696326572
123b366aa800
131bc1264470
14dacc1b09a
157e0541669
hex4bc22da00

20336269824 has 480 divisors, whose sum is σ = 66919716864. Its totient is φ = 5901189120.

The previous prime is 20336269819. The next prime is 20336269841. The reversal of 20336269824 is 42896263302.

It is a happy number.

20336269824 is a `hidden beast` number, since 203 + 362 + 6 + 9 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20336269824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87280012 + ... + 87280244.

Almost surely, 220336269824 is an apocalyptic number.

20336269824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20336269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33459858432).

20336269824 is an abundant number, since it is smaller than the sum of its proper divisors (46583447040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20336269824 is a wasteful number, since it uses less digits than its factorization.

20336269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 20336269824 in words is "twenty billion, three hundred thirty-six million, two hundred sixty-nine thousand, eight hundred twenty-four".